Question

Find the missing values in the following table of equivalent ratios.

$2$	$x$	$6$	$8$
$7$	$14$	$y$	$28$

• A. $x=6;y=21$
• B. $x=8;y=24$
• C. $x=6;y=21$
• D. $x=4;y=21$

Answer 1

The correct option is D $x=4;y=21$

From the table, we have, $\frac{2}{7}=\frac{x}{14}=\frac{6}{y}=\frac{8}{28}$

$\frac{x}{14}=\frac{2}{7}$

$\Rightarrow x=\frac{2}{7}\times \frac{14}{1}=4$

$\Rightarrow \frac{y}{6}=\frac{7}{2}$

$\Rightarrow y=\frac{7}{2}\times 6=\frac{7}{2}\times \frac{6}{1}=21$

So, $x=4;y=21$

Hence, option A is correct.